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Krishna Shukla posted an Question
July 19, 2021 • 16:07 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
1)if f'(x) exists in some deleted nbd of x₀ in [a,b] and lim x-->x₀⁻≠limx-->x₀⁺ then f(x) cannot be differentiable 2)f:[a,b]-->r be differentiable on [a,b] the
1)If f'(x) exists in some deleted nbd of x₀ in [a,b] and lim x-->x₀⁻≠limx-->x₀⁺ then f(x) cannot be differentiable 2)f:[a,b]-->R be differentiable on [a,b] then the derived function f' cannot have a jump discontinuity on [a,b] What is difference between above statements ?
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Ankur Rao
for 1st point we can see function will not be continuous so it will not be differentiable also.
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Ankur Rao
i think your question is not complete , please upload image of your question.
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